4 citations · 6 across the 5 of their papers we have counts for
8 papers
On the cusp form motives in genus 1 and level 1
C. Consani, C. Faber
We prove that the moduli space of stable n-pointed curves of genus one and the projector associated to the alternating representation of the symmetric group on n letters define (fo…
Archimedean cohomology revisited
Caterina Consani, Matilde Marcolli
Archimedean cohomology provides a cohomological interpretation for the calculation of the local L-factors at archimedean places as zeta regularized determinant of a log of Frobeniu…
Spectral triples from Mumford curves
Caterina Consani, Matilde Marcolli
We construct spectral triples associated to Schottky--Mumford curves, in such a way that the local Euler factor can be recovered from the zeta functions of such spectral triples. W…
New perspectives in Arakelov geometry
Caterina Consani, Matilde Marcolli
In this survey, written for the proceedings of the VII meeting of the CNTA held in May 2002 in Montreal, we describe how Connes' theory of spectral triples provides a unified view,…
The Picard-Lefschetz formula and a conjecture of Kato, the case of Lefschetz fibrations
Caterina Consani, Minhyong Kim
A conjecture of Kato says that the monodromy operator on the cohomology of a semi-stable degeneration of projective varieties is represented by an algebraic cycle on the special fi…
Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry
Caterina Consani, Matilde Marcolli
In Arakelov theory a completion of an arithmetic surface is achieved by enlarging the group of divisors by formal linear combinations of the ``closed fibers at infinity''. Manin de…